Clavius, Christoph
,
Gnomonices libri octo, in quibus non solum horologiorum solariu[m], sed aliarum quo[quam] rerum, quae ex gnomonis umbra cognosci possunt, descriptiones geometricè demonstrantur
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LIBER SECVNDVS.
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<
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xml:space
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<
s
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xml:space
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">PERSPICVVM autem eſt, initia domorum cœleſtium ſecundum Ioan. </
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<
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xml:space
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">Regiom. </
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<
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">tranſire per ea
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<
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xlink:href
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xml:space
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">Per quas horas
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in æquinoctiali
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linea tranſeant
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domus cœleſtes
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ſecundum 10.
<
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Regiom.</
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puncta lineę ęquinoctia lis in horologio, per quæ lineæ horarię à meridiana linea duabus, & </
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<
s
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xml:space
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ris diſtantes ducuntur, cuiuſmodi ſunt hora ſecunda, & </
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<
s
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">quarta poſt meridiem tranſeuntes per puncta
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F, k; </
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<
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<
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<
s
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<
s
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xml:space
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">poſt mediam noctem, tranſeuntes per M, L, quia huiuſmodi horæ in Æquatore diſtant
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à Meridiano circalo grad. </
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<
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<
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<
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<
s
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">quemadmodum & </
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<
s
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">domorum cœleſtium initia. </
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<
s
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xml:space
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">Vnde ſi per dictas ho
<
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ras in ęquinoctiali linea ducantur lineæ parallelæ ipſi lineæ meridianæ, dabunt hæ initia domorum cœ-
<
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leſtium, ex doctrina Ioan. </
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<
s
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xml:space
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">Regiom. </
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<
s
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xml:space
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">&</
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<
s
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">c. </
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<
s
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xml:space
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">Quod quidem non ſolum in horizontali horologio, ſed etiam
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in omnibus aliis intelligendum eſt.</
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<
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<
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<
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<
s
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">CÆTERVM lineæ domorum cæleſtiumnon eodem modo cæleſtes domos indicant, quo horariæ
<
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<
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xlink:label
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xml:space
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">Lineæ domor@@
<
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cœleſtium indi
<
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cant initia do-
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morum cœle-
<
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ſtium, horariæ
<
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autem lineæ ter
<
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minos, ſeu fines
<
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horarum ſigni-
<
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ficant.</
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lineæ horas. </
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<
s
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="
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xml:space
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">Hæ enim terminos hor arum ſignificant, adeo vt vmbr a gnomonis in lineam aliquam hora-
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riam cadens moneat nos, horam illam, cui linea horaria debetur, tranſactam eſſe, & </
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>
<
s
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="
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xml:space
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">aliam, quæ ſequitur,
<
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incipere: </
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<
s
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xml:space
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">Illæ vero demonſtrant nobis initia domorum, non autem fines, adeo vt vmbra ſtyli in aliquam
<
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dictarum linearum cadens monſtret, Solem in illo circulo poſitionis exiſtere, qui principium eſt illius do-
<
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mus cœleſtis, quam numerus aſcriptus ſignificat. </
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>
<
s
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xml:space
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">Cauſa huius rei eſt, quòd Sol prius exiſtit in fine cuiusli-
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bet domus, quàm in principio. </
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<
s
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xml:space
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">Domus enim cœleſtes numer antur ab occaſu in ortum; </
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<
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xml:space
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">Sol autem ab ortu
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in occaſum fertur motu primi mobilis. </
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<
s
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="
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xml:space
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">Vnde Sol prius exiſtit in fine cuiuſque domus, poſtea in medio, ac
<
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<
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poſtremo in principio eiuſdem. </
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>
<
s
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xml:space
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">In horis autem alia ratio eſt, quia circuli horarum computantur etiam ab
<
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ortu in occaſum. </
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>
<
s
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="
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xml:space
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">Itaque quemadmodum vmbra ſtyli cadens in aliquam lineam horariam docet, illam ho-
<
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ram eſſe tranſactam, Solem{q́ue} motum fuiſſe ab initio illi{us} horę vſque ad finem, ita eadem vmbra aliquã
<
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domum cœlestem attingens oſtendit, Solem per totam illam domum iam delatum eſſe, à fine nimirum il-
<
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lius vſque ad principium. </
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>
<
s
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xml:space
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">In exemplo, quoniam neque principium domus 7. </
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<
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">neque finis 12. </
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<
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xml:space
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">deſcribi poteſt
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in horizontali horologio, delineauimus earum partes tertias, hoc eſt, lineas duximus tranſeuntes per
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grad. </
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<
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<
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">& </
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<
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<
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">ipſarum.</
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<
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</
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<
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<
s
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xml:space
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">MVNVS autem domorum cœleſtium in horologio eſt, vt ex vmbra gnomonis comprehendamus,
<
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<
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">Ex lineis, cœle-
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ſtium domorũ
<
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in hotologio de
<
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ſcriptis percipi-
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mus, quanam
<
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in domo verſe-
<
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tur Sol.</
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quanam in domo cœleſti Sol commoretur. </
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>
<
s
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xml:space
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">Quando enim, exempli gratia, vmbra ſtyli in lineam cadit, cui
<
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aſcripta eſt domus nona, certum nobis erit, Solem tunc exiſtere in principio domus nonæ, & </
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<
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xml:space
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<
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uæ
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; </
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<
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">adeò vt toto illo tempore, quo vmbra ſtyli ſpatium inter lineam domus nonæ, & </
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<
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xml:space
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">lineam domus deci-
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mæ
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interiectum percucurrit ab occaſu in ortum, Sol in domo nona ſit moratus, à cuius termino ad eiuſdem
<
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principium motus eſt. </
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<
s
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xml:space
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">Et ita de cæteris.</
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<
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</
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<
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<
s
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xml:space
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">SOLVM autem domos cœleſtes deſcripſimus ſecundum Ioan. </
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<
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">Regiom. </
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<
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">& </
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<
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xml:space
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">Campanum, non autem
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ſecundum alios, quoniam frequentior apud Aſtronomos vſus reperitur domorum cœleſtium, prout ab his
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auctoribus in cœlo conſtituuntur.</
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<
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</
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</
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<
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<
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<
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gio deſcribere.</
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<
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</
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<
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<
s
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xml:space
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">SOLE exiſtente in principio ♈, quæratur, quota hora ante, vel poſt meridiem initia duode-
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<
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dum, priuſquã
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figna aſcenden
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tia deſcriban-
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tur.</
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cim ſignorum oriantur; </
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<
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xml:space
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">ad propoſitam latitudinem loci, initio facto à principio ♈. </
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<
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xml:space
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">Eodem verò
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exiſtente in principio ♎, inueſtigetur idem de initijs duodecim ſignorum, incipiendo à princi-
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pio ♎. </
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<
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xml:space
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">Rurſus eodem commorante in principio ♋, exploretur idem deinitijs eorundem 12.
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</
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<
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xml:space
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<
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xml:space
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">Poſtremo eodem manente in principio ♑, inquiratur
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idem de initijs 12. </
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<
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xml:space
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">ſignorum, principio facto à primo puncto ♑. </
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<
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xml:space
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<
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xml:space
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">Qua ratione he
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ra inueſtiganda
<
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ſit, qua quodli-
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bet ſi gnum Zo
<
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diaci ſupra Ho-
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rizontem inci-
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pit aſcendere.</
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tur ex aſcenſione obliqua illius arcus Eclipticæ, qui inter principium ♈, vel ♎, vel ♋, vel ♑, & </
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<
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<
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ſignum aſcendens propoſitum intercipitur. </
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<
s
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xml:space
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">Si enim aſcenſio huiuſmodi obliqua ad horas redi-
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gatur, & </
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>
<
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xml:space
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">horæ (ſi aſcenſio obliqua minor eſt arcu ſemidiurno) ab arcu ſemidiurno detrahantur,
<
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relinquentur horæ, quæ ſuperſunt ad meridiem vſque, cum ſignum illud, cuius obliqua aſcenſio
<
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ſumpta eſt, oriri incipit ſupra Horizontem; </
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>
<
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="
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xml:space
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">Vel ſi è contrario à dictis horis (ſi nimirum aſcenſio
<
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obliqua arcum ſemidiurnũ ſuperat) arcus ſemidiurnus ſubtrahatur, reliquæ erũt horæ poſt meri-
<
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diem elapſæ, cum initiũ illius ſigni, cuius aſcenſio obliqua aſſumpta eſt, exoritur. </
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>
<
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="
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">Exemplum. </
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<
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">Sole
<
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<
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">Exemplum.</
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exiſtente in principio ♈, arcus ſemidiurnus continet horas 6. </
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<
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">quæriturq́; </
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<
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xml:space
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">quota ſit hora, cũ princi
<
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pium ♋, aſcendit ſupra Horizontem Romanum, ad eleuationem nimirum grad. </
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<
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">42. </
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<
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xml:space
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">Arcus inter
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principium ♈, & </
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>
<
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">primum gradum ♋, habet aſcenſionem obliquam, (vt conſtat ex tabulis aſcen
<
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ſionum obliquarum in tabulis directionum Ioan. </
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>
<
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="
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xml:space
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">Regiom. </
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>
<
s
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="
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xml:space
="
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">vel in commentariis noſtris in ſphæ-
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ram contentis. </
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>
<
s
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="
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xml:space
="
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">Quas tamen aſcenſiones ad finem ſcholii huius propoſ. </
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>
<
s
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">inuenire quoque </
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text
>
</
echo
>